Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 344 · 40 questions

How to think it through (Swap, then BODMAS): Rewrite the sum, swapping every sign for what it means. BODMAS: do × and ÷ first, from left to right. Then do + and −, from left to right.

1. 1.If + means −, − means ×, × means ÷ and ÷ means +, what is 2 ÷ 4 − 14 + 14?
2. 2.If + means ×, − means ÷, × means − and ÷ means +, what is 13 + 4 × 3 ÷ 6?
3. 3.If + means ×, − means ÷, × means + and ÷ means −, what is 10 + 15 ÷ 4 × 4?
4. 4.If + means ÷, − means ×, × means + and ÷ means −, what is 9 ÷ 15 × 12 − 6?
5. 5.If + means ÷, − means +, × means − and ÷ means ×, what is 3 ÷ 17 × 3 − 3?
6. 6.If + means ÷, − means ×, × means + and ÷ means −, what is 16 × 20 ÷ 20 + 2?
7. 7.If + means ÷, − means ×, × means + and ÷ means −, what is 3 − 13 + 3 × 18?
8. 8.If + means −, − means +, × means ÷ and ÷ means ×, what is 13 + 2 ÷ 14 − 15?
9. 9.If + means ÷, − means ×, × means − and ÷ means +, what is 18 − 9 ÷ 19 × 12?
10. 10.If + means ÷, − means +, × means − and ÷ means ×, what is 18 ÷ 3 − 5 × 6?
11. 11.If + means ×, − means ÷, × means − and ÷ means +, what is 3 + 14 − 2 × 11?
12. 12.If + means ×, − means ÷, × means − and ÷ means +, what is 7 × 16 − 16 ÷ 17?
13. 13.If + means −, − means ×, × means ÷ and ÷ means +, what is 3 ÷ 4 − 14 + 8?
14. 14.If + means ×, − means ÷, × means + and ÷ means −, what is 20 × 10 + 6 − 4?
15. 15.If + means −, − means ×, × means ÷ and ÷ means +, what is 14 − 16 ÷ 12 + 19?
16. 16.If + means −, − means ×, × means ÷ and ÷ means +, what is 11 − 17 ÷ 18 + 5?
17. 17.If + means −, − means ×, × means ÷ and ÷ means +, what is 20 ÷ 18 + 20 × 20?
18. 18.If + means ÷, − means ×, × means − and ÷ means +, what is 11 − 10 ÷ 2 × 14?
19. 19.If + means ÷, − means ×, × means − and ÷ means +, what is 6 − 20 × 18 ÷ 19?
20. 20.If + means ÷, − means ×, × means − and ÷ means +, what is 7 ÷ 10 + 2 − 12?
21. 21.If + means ×, − means +, × means ÷ and ÷ means −, what is 17 ÷ 7 − 19 + 12?
22. 22.If + means ×, − means +, × means ÷ and ÷ means −, what is 3 + 16 × 4 − 18?
23. 23.If + means ×, − means +, × means ÷ and ÷ means −, what is 2 ÷ 10 − 17 + 20?
24. 24.If + means ÷, − means ×, × means − and ÷ means +, what is 8 ÷ 20 + 2 × 7?
25. 25.If + means ×, − means ÷, × means + and ÷ means −, what is 6 × 9 + 4 ÷ 17?
26. 26.If + means −, − means +, × means ÷ and ÷ means ×, what is 18 ÷ 6 × 4 − 11?
27. 27.If + means −, − means ÷, × means + and ÷ means ×, what is 19 − 19 × 18 + 16?
28. 28.If + means −, − means +, × means ÷ and ÷ means ×, what is 5 − 2 ÷ 20 + 4?
29. 29.If + means −, − means ×, × means ÷ and ÷ means +, what is 13 − 11 + 4 × 4?
30. 30.If + means ÷, − means ×, × means + and ÷ means −, what is 11 − 13 × 14 ÷ 10?
31. 31.If + means ×, − means ÷, × means − and ÷ means +, what is 12 ÷ 14 + 16 × 2?
32. 32.If + means ×, − means +, × means ÷ and ÷ means −, what is 6 − 8 + 10 ÷ 6?
33. 33.If + means ×, − means ÷, × means − and ÷ means +, what is 20 × 15 + 4 − 15?
34. 34.If + means −, − means ×, × means ÷ and ÷ means +, what is 7 + 2 − 7 ÷ 18?
35. 35.If + means −, − means ÷, × means + and ÷ means ×, what is 7 − 7 ÷ 17 + 6?
36. 36.If + means ÷, − means +, × means − and ÷ means ×, what is 8 ÷ 17 − 12 × 4?
37. 37.If + means −, − means ×, × means ÷ and ÷ means +, what is 3 − 4 + 3 ÷ 13?
38. 38.If + means ÷, − means ×, × means + and ÷ means −, what is 3 × 17 − 15 ÷ 17?
39. 39.If + means ÷, − means ×, × means + and ÷ means −, what is 18 × 19 − 3 ÷ 2?
40. 40.If + means ÷, − means +, × means − and ÷ means ×, what is 12 × 3 − 7 ÷ 20?

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